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What is the Least Common Multiple of 62062 and 62075?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 62062 and 62075 is 296346050.

LCM(62062,62075) = 296346050

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Least Common Multiple of 62062 and 62075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62062 and 62075, than apply into the LCM equation.

GCF(62062,62075) = 13
LCM(62062,62075) = ( 62062 × 62075) / 13
LCM(62062,62075) = 3852498650 / 13
LCM(62062,62075) = 296346050

Least Common Multiple (LCM) of 62062 and 62075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62062 and 62075. First we will calculate the prime factors of 62062 and 62075.

Prime Factorization of 62062

Prime factors of 62062 are 2, 7, 11, 13, 31. Prime factorization of 62062 in exponential form is:

62062 = 21 × 71 × 111 × 131 × 311

Prime Factorization of 62075

Prime factors of 62075 are 5, 13, 191. Prime factorization of 62075 in exponential form is:

62075 = 52 × 131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 62062 and 62075.

LCM(62062,62075) = 21 × 71 × 111 × 131 × 311 × 52 × 1911
LCM(62062,62075) = 296346050